Answer:
The correct option is c.
Step-by-step explanation:
The given equation is

The given inequality is

A point will contained in solution set if the above inequality satisfied by that point.
Check the point (0,-3),


This statement is false, therefore option a is incorrect.
Check the point (-3,0),


This statement is false, therefore option b is incorrect.
Check the point (3,3),


This statement is true, therefore option c is correct.
Check the point (-3,-3),


This statement is false, therefore option d is incorrect.
Answer:
The derivative is

Step-by-step explanation:
The function is given by

Differentiate with respect to x, we get

Answer: 0.0241
Step-by-step explanation:
This is solved using the probability distribution formula for random variables where the combination formula for selection is used to determine the probability of these random variables occurring. This formula is denoted by:
P(X=r) = nCr × p^r × q^n-r
Where:
n = number of sampled variable which in this case = 21
r = variable outcome being determined which in this case = 5
p = probability of success of the variable which in this case = 0.31
q= 1- p = 1 - 0.31 = 0.69
P(X=5) = 21C5 × 0.31^5 × 0.69^16
P(X=5) = 0.0241
48 ten units and 1 five unit.